Multi-objective integrated robust H∞ control for attitude tracking of a flexible spacecraft

Abstract

This paper investigates the multi-objective attitude tracking problem of a flexible spacecraft in the presence of disturbances, parameter uncertainties and imprecise collocation of sensors and actuators. An integrated robust H∞ controller, including an output feedback component and a feedforward component, is proposed, and its gains are calculated by solving Linear Matrix Inequalities. The output feedback component stabilizes the integrated control system while the feedforward component can drive the attitude motion to track the desired angles. The system robustness against disturbances, parameter uncertainties and imprecise collocation is addressed by the H∞ approach and convex optimization. Numerical simulations are finally provided to assess the performance of the proposed controller.

Observer-based multi-objective parametric design for spacecraft with super flexible netted antennas

“…For example, in 1958 the satellite named "Explorer-1" caused the energy dissipation in the system owing to the flexible vibration of the four whip antennas that eventually led to the attitude roll [1]. Therefore, vibration suppression and attitude control of spacecraft with large flexible attachments is a critical problem and it has received lots of attention [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. Sliding mode control (SMC) and backstepping control are commonly used control methods in order to solve this problem.…”

“…Robust H ∞ control is another effective control method for flexible spacecraft control. In [9,10], robust H ∞ controllers are designed for the multi-objective attitude control…”

“…Therefore, the control of flexible spacecraft is a typical multi-objective design problem. Although there are a few multi-objective design methods available, most of them have strict requirements on the form of indices and parameter constraints (such as the LMI method in [9,10]), which greatly limits the scope of application of the method. According to this consideration, Ref.…”

Attitude stabilization of flexible spacecraft under limited communication with reinforced robustness

“…Of late, nonlinear adaptive and robust control strategies have been proposed in the literature to solve the regulation problem in a flexible spacecraft. Some of the major attitude control paradigms are based on proportional derivative control (Liu et al, 2012), sliding mode control (Bang et al, 2005; Hu, 2012; Hu et al, 2008; Smaeilzadeh and Golestani, 2019; Tiwari et al, 2018), adaptive control (Chakravarty and Mahanta, 2016; Lu and Xia, 2013; Zhu et al, 2011), robust H ∞ control (Wu et al, 2018), switching control (Amrr et al, 2017), and disturbance observer based control (Li et al, 2016; Yan and Wu, 2017), and so forth. Although the aforementioned methodologies render satisfactory performance, they require continuous information of attitude trajectories in the calculation and update of the control law.…”

Redundancy implies robustness for bang‐bang strategies

“…The Riccati equations are replaced with Riccati inequalities, whose set of solutions parameterizes the controllers (see also for the use of LMIs in control theory). The papers present design procedures in this context to elaborate the feedback controller K , and the work focuses on the application to the attitude tracking of a spacecraft. In, the theory is extended to systems with parameters uncertainties and state delays, as well as in, with stochastic uncertainty.…”